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Finding the Fourth Proportional to 3,333.43, 4,603.71 and 2,966.95

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Solution

The fourth proportional to 3,333.43, 4,603.71 and 2,966.95 is: 4,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.43 : 4,603.71 = 2,966.95 : x
  2. Step 2: Convert to fraction form
    3,333.43/4,603.71 = 2,966.95/x
  3. Step 3: Cross multiply
    3,333.43x = 4,603.71 × 2,966.95
  4. Step 4: Simplify right side
    3,333.43x = 13,658,977.38
  5. Step 5: Solve for x
    x = 13,658,977.38/3,333.43
  6. Step 6: Final answer
    x = 4,097.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.